Logo Manga 1
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This example demonstrates a Logo Manga 1. It involves key mathematical concepts such as vectors, ellipses, and function graphs. The construction uses GeoGebra commands like Vector, Ellipse, and Function Graph. Suitable for high school mathematics education, particularly in coordinate geometry and function graphing.
GeoGebra Commands & Parameters
Vector(A, B) → uOrthogonalVector(u) → vLineBisector(A_1, A) → lLine(A, B) → sOrthogonalLine(D, s) → iOrthogonalLine(A, s) → bOrthogonalLine(F, b) → fMirror(f, l) → f'Intersect(i, f') → EMirror(f, l) → f'_1LineBisector(A, B) → mOrthogonalLine(B, u, xOyPlane) → gMirror(i, m) → i'Intersect(m, f) → GIntersect(i', f') → POrthogonalLine(A_1, b) → rIntersect(m, l) → KIntersect(i, l) → JIntersect(g, r) → CMirror(F, l) → F'Polygon(A_1, C, B, A) → c4, a_1, c_3, b_2, a_2Mirror(E, l) → E'OrthogonalLine(H, b) → jLineBisector(F, H) → r_2Circle(N, O) → cLine(E, B) → hCircumcircleArc(R, M, Q) → dLine(R, h) → kIntersect(c, k) → S, TSegment(R, S) → pLine(Z, l) → tLine(W, l) → aIntersect(c, t) → B_1, C_1Intersect(c, a) → D_1, E_1Line(F_1, l) → eCircle(G_1, H_1) → c_1OrthogonalLine(R, t) → f_1Intersect(a, f_1) → I_1Intersect(e, f_1) → J_1Semicircle(J_1, I_1) → d_1Polygon(J_1, I_1, W, F_1) → q1, j_1, i_1, w, g_1Semicircle(J_1, I_1) → h_1Polygon(B_1, C_1, E_1, D_1) → q2, b_1, k_1, l_1, m_1CircumcircleArc(N_1, M_1, L_1) → p_1CircumcircleArc(P_1, O_1, N_1) → q_1Segment(L_1, K_1) → n_1Segment(P_1, Q_1) → r_1LineBisector(K_1, Q_1) → s_1Intersect(s_1, h) → V_1CircleArc(V_1, K_1, Q_1) → t_1LineBisector(Q_1, G) → f_2Intersect(f_2, m) → W_1CircleArc(W_1, Q_1, G) → c_2CircleArc(K, T_1, R_1) → d_2LineBisector(U_1, S_1) → g_2Intersect(g_2, e) → Z_1CircleArc(Z_1, U_1, S_1) → h_2Mirror(O, N) → O'Segment(O', R_1) → i_2Segment(A_2, B_2) → j_2Mirror(D_2, m) → E_2Ellipse(E_2, D_2, C_2) → k_2CircumcircleArc(Q, V, U) → qLine(U, k) → nIntersect(c, n) → L_2, M_2Segment(U, L_2) → l_2Mirror(d_1, m) → p_2Mirror(h_1, m) → q_2Mirror(J_1, m) → N_2Mirror(I_1, m) → O_2Mirror(W, m) → W'Mirror(F_1, m) → P_2Polygon(N_2, O_2, W', P_2) → q1', n_2, o_2, w', m_2Mirror(d_1, m) → s_2Mirror(Q, m) → Q'Mirror(V, m) → V'Mirror(U, m) → U'CircumcircleArc(Q', V', U') → q'Mirror(R, m) → R'Mirror(M, m) → M'Mirror(Q, m) → Q'_{1}CircumcircleArc(R', M', Q'_{1}) → d'Mirror(R, m) → R'_{1}Mirror(S, m) → S'Segment(R'_{1}, S') → p'Mirror(U, m) → U'_{1}Mirror(L_2, m) → R_2Segment(U'_{1}, R_2) → t_2Mirror(c_1, m) → d_3Mirror(c_2, m) → e_3Mirror(d_2, m) → f_3Mirror(t_1, s_1) → g_3Mirror(P_1, m) → S_2Mirror(O_1, m) → T_2Mirror(N_1, m) → U_2CircumcircleArc(S_2, T_2, U_2) → h_3Mirror(N_1, m) → V_2Mirror(M_1, m) → W_2Mirror(L_1, m) → Z_2CircumcircleArc(V_2, W_2, Z_2) → k_3Mirror(g_3, m) → p_3Mirror(L_1, m) → A_3Mirror(K_1, m) → B_3Segment(A_3, B_3) → i_3Mirror(P_1, m) → C_3Mirror(Q_1, m) → D_3Segment(C_3, D_3) → j_3Mirror(A_2, m) → E_3Mirror(B_2, m) → F_3Segment(E_3, F_3) → l_3Mirror(h_2, m) → q_3Segment(J_2, K_2) → m_3Segment(G_3, H_3) → n_3LineBisector(I_3, Q_2) → r_3Intersect(r_3, o_2) → J_3Intersect(o_2, q1') → K_3, L_3CircleArc(L_3, Q_2, I_3) → s_3LineBisector(F_2, G_2) → t_3Intersect(t_3, o_2) → M_3CircleArc(M_3, G_2, F_2) → c_4LineBisector(H_2, I_2) → b_3Intersect(b_3, o_2) → N_3CircleArc(N_3, I_2, H_2) → d_4CircleArc(N, C_1, B_1) → e_4
AI Drawing Prompt Reference
Draw a Logo Manga 1 graphic involving vectors, ellipses, and function graphs. Start by creating two orthogonal vectors, then use them to form ellipses and lines. Construct complex geometric shapes through mirroring and intersection operations, and finally add function graphs and arcs to complete a high school mathematics education example combining coordinate geometry and function graphing.
The prompt above was compiled from the original drawing commands and is for reference only.